8920392864 has 192 divisors, whose sum is σ = 26264964096. Its totient is φ = 2636181504.

The previous prime is 8920392827. The next prime is 8920392917. The reversal of 8920392864 is 4682930298.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2513139 + ... + 2516685.

It is an arithmetic number, because the mean of its divisors is an integer number (136796688).

Almost surely, 2^8920392864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8920392864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13132482048).

8920392864 is an abundant number, since it is smaller than the sum of its proper divisors (17344571232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8920392864 is a wasteful number, since it uses less digits than its factorization.

8920392864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 8920392864 is about 94447.8314414894. The cubic root of 8920392864 is about 2073.9327061861.

The spelling of 8920392864 in words is "eight billion, nine hundred twenty million, three hundred ninety-two thousand, eight hundred sixty-four".